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Finding the Third Proportional to 86,921 and 209,329

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Solution

The third proportional to 86,921 and 209,329 is: 504,120.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,921 : 209,329 = 209,329 : x
  2. Step 2: Convert to fraction form
    86,921/209,329 = 209,329/x
  3. Step 3: Cross multiply
    86,921x = 209,329 × 209,329
  4. Step 4: Simplify right side
    86,921x = 43,818,630,241
  5. Step 5: Solve for x
    x = 43,818,630,241/86,921
  6. Step 6: Final answer
    x = 504,120.18

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.